论文标题

受控扩散的最佳退出率的变异表征

A variational characterization of the optimal exit rate for controlled diffusions

论文作者

Arapostathis, Ari, Borkar, Vivek S.

论文摘要

本文的主要结果是从有限域的退出率的变异公式,从扩散过程的扩散定律中,被限制的扩散定律永远留在该域中。还提出了有关受控Q过程的几何形状终身制的相关结果。

The main result in this paper is a variational formula for the exit rate from a bounded domain for a diffusion process in terms of the stationary law of the diffusion constrained to remain in this domain forever. Related results on the geometric ergodicity of the controlled Q-process are also presented.

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